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1006720 = 27511213
BaseRepresentation
bin11110101110010000000
31220010221221
43311302000
5224203340
633324424
711362021
oct3656200
91803857
101006720
11628400
12406714
132932c0
141c2c48
1514d44a
hexf5c80

1006720 has 96 divisors (see below), whose sum is σ = 2848860. Its totient is φ = 337920.

The previous prime is 1006711. The next prime is 1006721. The reversal of 1006720 is 276001.

It can be written as a sum of positive squares in 2 ways, for example, as 937024 + 69696 = 968^2 + 264^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1006694 and 1006703.

It is not an unprimeable number, because it can be changed into a prime (1006721) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77434 + ... + 77446.

21006720 is an apocalyptic number.

1006720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1006720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1424430).

1006720 is an abundant number, since it is smaller than the sum of its proper divisors (1842140).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1006720 is a wasteful number, since it uses less digits than its factorization.

1006720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 1006720 is about 1003.3543740872. The cubic root of 1006720 is about 100.2235001049.

The spelling of 1006720 in words is "one million, six thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 32 40 44 52 55 64 65 80 88 104 110 121 128 130 143 160 176 208 220 242 260 286 320 352 416 440 484 520 572 605 640 704 715 832 880 968 1040 1144 1210 1408 1430 1573 1664 1760 1936 2080 2288 2420 2860 3146 3520 3872 4160 4576 4840 5720 6292 7040 7744 7865 8320 9152 9680 11440 12584 15488 15730 18304 19360 22880 25168 31460 38720 45760 50336 62920 77440 91520 100672 125840 201344 251680 503360 1006720